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   "metadata": {},
   "source": [
    "导入python模块包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
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   "outputs": [
    {
     "ename": "ModuleNotFoundError",
     "evalue": "No module named 'bokeh'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mModuleNotFoundError\u001b[0m                       Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-1-f8dd791c8c33>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m      4\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m \u001b[1;31m# bokeh 交互式图表\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 6\u001b[1;33m \u001b[1;32mfrom\u001b[0m \u001b[0mbokeh\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplotting\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mfigure\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0moutput_file\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mshow\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      7\u001b[0m \u001b[1;31m# 将图标输出到notebook笔记本中\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      8\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0mbokeh\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mio\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0moutput_notebook\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mModuleNotFoundError\u001b[0m: No module named 'bokeh'"
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   "source": [
    "# 转子动力学分析的模块 Rotordynamic Open Source Software\n",
    "import ross as rs\n",
    "# 矩阵计算包，类比matlab\n",
    "import numpy as np\n",
    "# bokeh 交互式图表\n",
    "from bokeh.plotting import figure, output_file, show\n",
    "# 将图标输出到notebook笔记本中\n",
    "from bokeh.io import output_notebook\n",
    "output_notebook()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 转子动力学简介\n",
    "研究转子-支承系统在旋转状态下的振动、平衡和稳定性的问题，尤其是研究接近或超过临界转速运转状态下转子的横向振动问题。\n",
    "\n",
    "转子是涡轮机、电机等旋转式机械中的主要旋转部件。\n",
    "### 转子动力学的研究内容主要有以下5个：\n",
    "①临界转速\n",
    "②通过临界转速的状态\n",
    "③动力响应\n",
    "④动平衡\n",
    "⑤转子稳定性"
   ]
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  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
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   "source": [
    "# 定义材料\n",
    "steel = rs.Material(name=\"Steel\", rho=7810, E=211e9, G_s=81.2e9)"
   ]
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   "execution_count": 3,
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    "# Creating a list of shaft elements\n",
    "L = 0.25\n",
    "i_d = 0\n",
    "o_d = 0.05\n",
    "N_elem = 6\n",
    "# the shaft elements 列表生成式\n",
    "shaft_elements = [\n",
    "    rs.ShaftElement(\n",
    "        L=L,\n",
    "        idl=i_d,\n",
    "        odl=o_d,\n",
    "        material=steel,\n",
    "        shear_effects=True,\n",
    "        rotary_inertia=True,\n",
    "        gyroscopic=True,\n",
    "    )\n",
    "    for _ in range(N_elem)\n",
    "]\n",
    "\n",
    "# The disks elements\n",
    "disk = rs.DiskElement(\n",
    "    n=2,\n",
    "    m=32.58,\n",
    "    Ip=0.178,\n",
    "    Id=0.329,\n",
    "    tag=\"Disk\"\n",
    ")\n",
    "\n",
    "# the bearing elements:\n",
    "bearing0 = rs.BearingElement(\n",
    "    n=0,\n",
    "    kxx=[0.5e6, 1.0e6, 2.5e6],\n",
    "    kyy=[1.5e6, 2.0e6, 3.5e6],\n",
    "    cxx=[0.5e3, 1.0e3, 1.5e3],\n",
    "    frequency=[0, 1000, 2000],\n",
    ")\n",
    "bearing1 = rs.BearingElement(\n",
    "    n=5,\n",
    "    kxx=[0.5e6, 1.0e6, 2.5e6],\n",
    "    kyy=[1.5e6, 2.0e6, 3.5e6],\n",
    "    cxx=[0.5e3, 1.0e3, 1.5e3],\n",
    "    frequency=[0, 1000, 2000],\n",
    ")\n",
    "bearings = [bearing0, bearing1]"
   ]
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    "bearings = [bearing0, bearing1]\n",
    "\n",
    "rotor = rs.Rotor(shaft_elements=shaft_elements, disk_elements=[disk], bearing_elements=bearings)\n",
    "figure = rotor.plot_rotor()"
   ]
  },
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       "  const render_items = [{\"docid\":\"f2f8ccab-c328-4de7-95fb-a93f1a1088c3\",\"root_ids\":[\"1003\"],\"roots\":{\"1003\":\"3e92f541-1cad-4c32-b3fc-348ae7cab299\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "1003"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show(figure)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "campbell = rotor.run_campbell(speed_range=np.linspace(0, 1000))\n",
    "campbellFigure = campbell.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"9b82f2fc-7269-406d-917f-07569feb6861\" data-root-id=\"2790\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  const docs_json = 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       "  const render_items = [{\"docid\":\"9bac0d9a-43e3-4d61-8785-de56c19668de\",\"root_ids\":[\"2790\"],\"roots\":{\"2790\":\"9b82f2fc-7269-406d-917f-07569feb6861\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "2790"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show(campbellFigure)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[ShaftElement(L=0.3, idl=0.1, idr=0.1, odl=0.3,  odr=0.3, material='Steel', n=None),\n",
       " ShaftElement(L=0.5, idl=0.2, idr=0.2, odl=0.4,  odr=0.4, material='Steel', n=None),\n",
       " ShaftElement(L=0.1, idl=0.0, idr=0.0, odl=0.06,  odr=0.06, material='Steel', n=None),\n",
       " ShaftElement(L=0.1, idl=0.0, idr=0.0, odl=0.06,  odr=0.06, material='Steel', n=None),\n",
       " ShaftElement(L=0.2, idl=0.0, idr=0.0, odl=0.05,  odr=0.05, material='Steel', n=None),\n",
       " ShaftElement(L=0.2, idl=0.01, idr=0.01, odl=0.05,  odr=0.05, material='Steel', n=None)]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L =   [0.30, 0.50, 0.10, 0.10, 0.20, 0.20]\n",
    "i_d = [0.1,    0.2,    0,    0,    0, 0.01]\n",
    "o_d = [0.3, 0.4, 0.06, 0.06, 0.05, 0.05]\n",
    "shaft_elements2 = [\n",
    "    rs.ShaftElement(\n",
    "        L=l,\n",
    "        idl=idl,\n",
    "        odl=odl,\n",
    "        material=steel,\n",
    "        shear_effects=True,\n",
    "        rotary_inertia=True,\n",
    "        gyroscopic=True,\n",
    "    )\n",
    "    for l, idl, odl in zip(L, i_d, o_d)\n",
    "]\n",
    "shaft_elements2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# The disks elements\n",
    "disk2 = rs.DiskElement(\n",
    "    n=2,\n",
    "    m=32.58,\n",
    "    Ip=0.178,\n",
    "    Id=0.329,\n",
    "    tag=\"Disk\"\n",
    ")\n",
    "disk3 = rs.DiskElement(\n",
    "    n=3,\n",
    "    m=32.58,\n",
    "    Ip=0.178,\n",
    "    Id=0.329,\n",
    "    tag=\"Disk2\"\n",
    ")\n",
    "\n",
    "\n",
    "# the bearing elements:\n",
    "bearing0 = rs.BearingElement(\n",
    "    n=0,\n",
    "    kxx=[0.5e6, 1.0e6, 2.5e6],\n",
    "    kyy=[1.5e6, 2.0e6, 3.5e6],\n",
    "    cxx=[0.5e3, 1.0e3, 1.5e3],\n",
    "    frequency=[0, 1000, 2000],\n",
    ")\n",
    "bearing1 = rs.BearingElement(\n",
    "    n=5,\n",
    "    kxx=[0.5e6, 1.0e6, 2.5e6],\n",
    "    kyy=[1.5e6, 2.0e6, 3.5e6],\n",
    "    cxx=[0.5e3, 1.0e3, 1.5e3],\n",
    "    frequency=[0, 1000, 2000],\n",
    ")\n",
    "bearings2 = [bearing0, bearing1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"2b824515-a258-40cc-a1d2-253c3cdb09f5\" data-root-id=\"7760\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  const docs_json = 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       "  const render_items = [{\"docid\":\"8215c1d7-5c42-4e00-90b8-3204ede7839f\",\"root_ids\":[\"7760\"],\"roots\":{\"7760\":\"2b824515-a258-40cc-a1d2-253c3cdb09f5\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "7760"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "rotor2 = rs.Rotor(shaft_elements=shaft_elements2, disk_elements=[disk2], bearing_elements=bearings2)\n",
    "figure2 = rotor.plot_rotor()\n",
    "show(figure2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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